Answer:
t=10
Step-by-step explanation:
3*(t+4)-2*(2*t+3)-(-4)=0
Step by step solution :
Step 1 :
Equation at the end of step 1 :
((3 • (t + 4)) - 2 • (2t + 3)) - -4 = 0
Step 2 :
Equation at the end of step 2 :
(3 • (t + 4) - 2 • (2t + 3)) - -4 = 0
Step 3 :
Equation at the end of step 3 :
10 - t = 0
Step 4 :
Solving a Single Variable Equation :
4.1 Solve : -t+10 = 0
Subtract 10 from both sides of the equation :
-t = -10
Multiply both sides of the equation by (-1) : t = 10
Answer:
The correct option is C.
Step-by-step explanation:
Two figures are congruent if their corresponding sides are congruent.
We know that, reflection, rotation and translation are rigid transformation. It means the size and shape of image and preimage are same. We can say that in rigid transformation, the image and preimage are congruent.
Dilation is not a rigid transformation. It represents enlargement and compression.
If scale factor |k|>1, then it represent enlargement. If scale factor |k|<1, then it represent compression.
In option C, the scale factor is 4. It means the sides of image are 4 times of the preimage.
Therefore option C is correct and the resultant figure of option C is not congruent to the original figure.
120 degrees is anwser because 180-60 is 120 you know the angles of triangle are 60 because it is an equateral triangle
The value of f(0) is 1
Explanation:
Given that the coordinates are , , and
We need to determine the value of f(0)
Using the coordinate , we shall determine the function.
For , the function is
Similarly, using the coordinate , we shall determine the function.
For , the function is
Using the coordinate , we shall determine the function.
For , the function is
Using the coordinate , we shall determine the function.
For , the function is
Therefore, the value of f(0) is 1
Karen is moving at 81.2 miles per hour while Melinda is moving at 71.2 miles per hour.
<h3>Equation for
speed</h3>
Speed is the ratio of total distance travelled to total time taken. It is given by:
Speed = distance / time
Let a represent Karen speed and b represent Melinda speed, hence:
a = b + 10
a - b = 10 (1)
Also:
a = d₁ / 1
d₁ = a
b = d₂/ 1 hour
d₂ = b
Since they are 108 miles apart, using Pythagoras:
108² = d₁² + d₂²
a² + b² = 11664
(b + 10)² + b² = 11664
b = 71.2 mph, a = 81.2 mph
Karen is moving at 81.2 miles per hour while Melinda is moving at 71.2 miles per hour.
Find out more on speed at: brainly.com/question/4931057